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The domain of the function f(x)=sqrt(a...

The domain of the function
`f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx))` in `[0,2pi]` is

A

`[0,pi/2] cup [(3pi)/2,2pi]`

B

`[pi,2pi]`

C

`[0,pi]-{pi/2}`

D

`[0,2pi]-{pi/2,(3pi)/2}`

Text Solution

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The correct Answer is:
a
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  17. Let E={1,2,3,4} and F={1,2}dot If N is the number of onto functions fr...

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  18. Suppose f(x)=(x+1)^(2) " for " x ge -1. If g(x) is the function whos...

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  19. If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equal...

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